What is the Greatest Common Factor of 74147 and 74166?

Greatest common factor (GCF) of 74147 and 74166 is 1.

GCF(74147,74166) = 1

We will now calculate the prime factors of 74147 and 74166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74147 and 74166.

How to find the GCF of 74147 and 74166?

We will first find the prime factorization of 74147 and 74166. After we will calculate the factors of 74147 and 74166 and find the biggest common factor number .

Step-1: Prime Factorization of 74147

Prime factors of 74147 are 53, 1399. Prime factorization of 74147 in exponential form is:

74147 = 53¹ × 1399¹

Step-2: Prime Factorization of 74166

Prime factors of 74166 are 2, 3, 47, 263. Prime factorization of 74166 in exponential form is:

74166 = 2¹ × 3¹ × 47¹ × 263¹

Step-3: Factors of 74147

List of positive integer factors of 74147 that divides 74147 without a remainder.

1, 53, 1399

Step-4: Factors of 74166

List of positive integer factors of 74166 that divides 74147 without a remainder.

1, 2, 3, 6, 47, 94, 141, 263, 282, 526, 789, 1578, 12361, 24722, 37083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74147 and 74166. The biggest common factor number is the GCF number.
So the greatest common factor 74147 and 74166 is 1.

Also check out the Least Common Multiple of 74147 and 74166